Abstract: In this study, iterative methods particularly the Alternating Group Explicit (AGE) iterative method is used to solve system of linear equations generated from the discretization of Two-Dimensional Fuzzy Poisson problems (2DFP). The formulation and implementation of the AGE method is also presented. Then numerical experiments are carried out on to two problems to verify the effectiveness of the methods. The results show that the AGE method is superior compared to GS method in terms of number of iterations, execution time and Hausdorff distance.